A024422 a(n) = floor(Sum_{m=1..n} Stirling2(n,m) / binomial(n-1,m-1)).

1, 2, 3, 6, 12, 26, 62, 161, 448, 1338, 4274, 14524, 52289, 198678, 794065, 3328482, 14594217, 66779091, 318205958, 1575994324, 8098891289, 43115440260, 237435483669, 1350777074576, 7928871324300, 47965914249016, 298735745451523

Offset

1,2

Links

Table of n, a(n) for n=1..27.

Prog

(SageMath)
print([int(sum(stirling_number2(n, m)/binomial(n-1, m-1) for m in [1..n])) for n in [1..27]]) # Andrey Zabolotskiy, Jan 09 2024

Crossrefs

Cf. A024423, A024424, A024425.

Sequence in context: A152172 A001677 A339150 * A186771 A019525 A108915

Adjacent sequences: A024419 A024420 A024421 * A024423 A024424 A024425

Keyword

nonn

Author

Clark Kimberling

Status

approved